Physics - SHM Question with Solution | TestHub

Velocity of the particle is given as: $$\mathrm{v}=\frac{\mathrm{dx}}{\mathrm{dt}}=\mathrm{a}\omega \cos (\omega \mathrm{t}-\varphi )$$ $\therefore$ Velocity of the particle at time $\mathrm{t}=\varphi /\omega$ is given as, $$\begin{array}{rl}\mathrm{v}& =\frac{\mathrm{dx}}{\mathrm{dt}}=\mathrm{a}\omega \cos \left(\left(\omega \times \frac{\varphi }{\omega }\right)-\varphi \right)=\mathrm{a}\omega \cos 0\\ \therefore \mathrm{v}& =\mathrm{a}\omega \end{array}$$